Alternate approximation of concave cost functions for process design and supply chain optimization problems

Autores
Cafaro, Diego Carlos; Grossmann, Ignacio E.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.
Fil: Cafaro, Diego Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Grossmann, Ignacio E.. University Of Carnegie Mellon; Estados Unidos
Materia
Concave Cost Functions
Nonlinear Optimization
Process Synthesis
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/9336
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Alternate approximation of concave cost functions for process design and supply chain optimization problemsCafaro, Diego CarlosGrossmann, Ignacio E.Concave Cost FunctionsNonlinear OptimizationProcess Synthesishttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.Fil: Cafaro, Diego Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); ArgentinaFil: Grossmann, Ignacio E.. University Of Carnegie Mellon; Estados UnidosElsevier2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/9336Cafaro, Diego Carlos; Grossmann, Ignacio E.; Alternate approximation of concave cost functions for process design and supply chain optimization problems; Elsevier; Computers And Chemical Engineering; 60; 1-2014; 376-3800098-1354enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2013.10.001info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0098135413003025info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:16Zoai:ri.conicet.gov.ar:11336/9336instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:08:16.798CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Alternate approximation of concave cost functions for process design and supply chain optimization problems
title Alternate approximation of concave cost functions for process design and supply chain optimization problems
spellingShingle Alternate approximation of concave cost functions for process design and supply chain optimization problems
Cafaro, Diego Carlos
Concave Cost Functions
Nonlinear Optimization
Process Synthesis
title_short Alternate approximation of concave cost functions for process design and supply chain optimization problems
title_full Alternate approximation of concave cost functions for process design and supply chain optimization problems
title_fullStr Alternate approximation of concave cost functions for process design and supply chain optimization problems
title_full_unstemmed Alternate approximation of concave cost functions for process design and supply chain optimization problems
title_sort Alternate approximation of concave cost functions for process design and supply chain optimization problems
dc.creator.none.fl_str_mv Cafaro, Diego Carlos
Grossmann, Ignacio E.
author Cafaro, Diego Carlos
author_facet Cafaro, Diego Carlos
Grossmann, Ignacio E.
author_role author
author2 Grossmann, Ignacio E.
author2_role author
dc.subject.none.fl_str_mv Concave Cost Functions
Nonlinear Optimization
Process Synthesis
topic Concave Cost Functions
Nonlinear Optimization
Process Synthesis
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.
Fil: Cafaro, Diego Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Grossmann, Ignacio E.. University Of Carnegie Mellon; Estados Unidos
description This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/9336
Cafaro, Diego Carlos; Grossmann, Ignacio E.; Alternate approximation of concave cost functions for process design and supply chain optimization problems; Elsevier; Computers And Chemical Engineering; 60; 1-2014; 376-380
0098-1354
url http://hdl.handle.net/11336/9336
identifier_str_mv Cafaro, Diego Carlos; Grossmann, Ignacio E.; Alternate approximation of concave cost functions for process design and supply chain optimization problems; Elsevier; Computers And Chemical Engineering; 60; 1-2014; 376-380
0098-1354
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2013.10.001
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0098135413003025
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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